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Finding the Fourth Proportional to 594.66, 820.90 and 417.78

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Solution

The fourth proportional to 594.66, 820.90 and 417.78 is: 576.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.66 : 820.90 = 417.78 : x
  2. Step 2: Convert to fraction form
    594.66/820.90 = 417.78/x
  3. Step 3: Cross multiply
    594.66x = 820.90 × 417.78
  4. Step 4: Simplify right side
    594.66x = 342,955.60
  5. Step 5: Solve for x
    x = 342,955.60/594.66
  6. Step 6: Final answer
    x = 576.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.